Workshop From geometry to numerics
IHP, Paris, 20-24 November 2006
 
Jeff Winicour (Univ. of Pittsburg, USA)

Well-posedness and numerical stability of the global harmonic initial-boundary value problem

I discuss theorems which establish the well-posedness and computational stability of harmonic  evolution and boundary algorithms for a black hole spacetime. Of particular importance, results regarding constraint preserving Sommerfeld boundary conditions can be used to enhance the computation of gravitational waveforms by matching techniques.

[slides]

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